Currently, there is a great scientific interest to gain deeper insight into the localization phenomena in many-body quantum systems.
By now, it has been found that, in one-dimension (1D), an isolated interacting system of fermions that is subject to
quenched disorder can undergo a phase transition from a thermal regime where transport is diffusive or subdiffusive [1]}, [2]}, [3]}, [4]}, [5]}, [6]} to the MBL phase where the transport coefficients are exponentially small in the system size [7]}, [8]}, [9]}, [10]} and memory of the initial state is retained to arbitrarily long times.
